SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
Showing 50 of 25456 papers
This paper analyzes how departures from a Boltzmann vibrational distribution affect the dissociation rate of diatomic molecules in binary collisions with a heat bath. Using a simplified quantum model with nearly equidistant bound vibrational levels and dissociation only from the highest level, it fo…
This paper analyzes radiation from nonrelativistic charged particles passing along the axis near axially symmetric ideally conducting bodies, with attention to induced surface charges and currents. The problem is separated into an electrostatic boundary value calculation of the particle motion and i…
This paper develops a tight-binding description of the diffusion and mobility of a single excess electron or hole in an atomic liquid semiconductor, where the usual concepts of plane waves and mean free path are argued to be inapplicable. It introduces an equivalent probabilistic process for quantum…
This study examines previously undescribed acid cyano-substituted esters of phosphorous acid, focusing on reactions of alpha-cyanohydrins with phosphorus trichloride and subsequent transformations of the products. Fractional distillation showed that these reactions give mixtures of alpha-cyanoalkyl …
This study examines the titanium K beta group x-ray emission lines in Ti-C alloys with carbon contents from about 9 to 24 percent, in order to clarify spectral changes relevant to bonding in transition-metal carbides. Specially prepared and chemically and structurally characterized carbides were mea…
In this review, we focus primarily on phenomena in solids, as they are more familiar to us. Since experimental results are available in all the cases considered, for greater clarity of presentation we begin each part of our review with a description of the actually observed course of the phenomena, …
This paper studies boundary value problems for the wave equation on a half-space over the entire time axis, with a radiation-type condition requiring decay as the normal spatial coordinate tends to infinity. Using operational calculus and two-sided Laplace transforms, it derives explicit solution fo…
This note studies how essential cycles in compact carriers behave under continuous mappings into orientable manifolds or Euclidean spaces, motivated by a question of P. S. Aleksandrov concerning degree-zero maps of closed manifolds. Using the Phragmén-Brouwer separation theorem and linked cycles, it…
This article mainly discusses experimental studies of the process of diffusion porosity formation and some phenomena accompanying this process.
The paper studies boundary value problems for uniformly parabolic linear partial differential equations in a cylindrical domain, with mixed boundary conditions and nonpositive zeroth order coefficient. Using methods of Hopf and Oleinik, it proves a boundary point principle for solutions attaining an…
The paper examines dispersion relations for weak-interaction processes, using the reaction of a negative muon with a proton producing a neutron and neutrino as its main example. Arguing to first order in the weak coupling, the authors show that the anti-Hermitian part of the amplitude vanishes, so t…
This study examines the chemical behavior and structural implications of benz-2,1,3-thiodiazole, or piazthiole, whose aromatic stability had left uncertain the extent of any unsaturated character. The authors investigated chlorination and bromination of piazthiole and related derivatives, isolating …
This paper addresses the classification of second-order scalar differential invariants of a quaternary differential quadratic form, emphasizing gaps in earlier treatments by Cartan and Rozenfeld. Using Thomas’s reduction of differential invariants to algebraic invariants of the fundamental tensor an…
This paper studies when a given affine connection on a three-dimensional manifold can arise from a Riemannian metric, equivalently when there exists a parallel positive-definite metric tensor satisfying the absolute differential equations for metric compatibility. It formulates algebraic integrabili…
The paper examines the theory of fluorescence polarization in solutions when fluorescence is quenched by foreign substances, focusing on cases where the decay law is nonexponential and the usual Levshin-Perrin formula becomes inadequate. The authors derive a modified polarization relation that incor…
This note studies singular integral operators in spaces \(L_p(E_m)\) and gives sufficient conditions for their boundedness in terms of the angular symbol and its derivatives. The argument represents the operator through angular spectral projections, proves their uniform \(L_p\) boundedness using a r…
This paper studies stability and uniqueness for the Cauchy problem for second-order linear elliptic equations, a problem known to be ill-posed in general but stable under boundedness-type restrictions. It states an a priori estimate for solutions in a cylinder with variable coefficients satisfying e…
The paper studies Lyapunov stability of a periodic solution of a system of differential equations whose right hand sides have first kind discontinuities across a periodic family of hypersurfaces. It defines an appropriate linear approximation consisting of ordinary variational equations between cros…
This paper addresses the automation of programming for machine translation tasks, where programs must manage large numbers of discrete logical variables stored compactly in memory cells and accessed by both cell address and position. It proposes a formal representation of translation schemes as sequ…
This paper determines the smallest radius of univalence for a subclass of analytic functions representable as the square of a function with square-summable Taylor coefficients and prescribed first coefficient modulus. The argument first treats polynomial approximants of even degree, analyzes their d…
This paper examines the temperature dependence of magnetic anisotropy in cubic ferromagnetic crystals, extending earlier spin-wave treatments by including spin-wave interactions. Starting from a Hamiltonian with exchange, external-field, and cubic anisotropy terms, the analysis transforms to axes al…
This paper examines the theoretical description of ordering in binary alloys, distinguishing long-range order from short-range order and introducing a correlation parameter linking the two. It argues that models in which configurational energy is treated as a single-valued function of nearest-neighb…
The aim of the present article is to set forth a theory of the origin of cosmic rays based on radioastronomical data and, of course, on all other information of an experimental nature. Therefore, and in accordance with what was said earlier, we shall not dwell in detail on theories of the solar and …
This paper studies the role of left and right cancellation laws in presentations of semigroups by generators and defining relations. It compares ordinary finitely presented semigroups with semigroups obtained by adding cancellation rules, and also considers presentations using mixed relations contai…
This paper applies the theory of continuous transformation groups to qualitative questions for ordinary differential equations of the form dy/dx equals Y/X, where X and Y are real polynomials. It establishes, under stated analyticity and multiplicity assumptions, the existence of auxiliary functions…
This study examines how the rate of liquid-phase hydrogenation depends on the amount of skeletal nickel catalyst, using hexyne-1 and trans-piperylene under varied solvents, stirring intensities, temperatures, and catalyst-to-substrate ratios. Potentiometric measurements of catalyst potential were us…
This note extends Poincaré’s upper limit for the angular velocity of a rotating liquid mass to discrete gravitating stellar systems, for which the original surface-based proof is not applicable. Using the virial theorem, it derives an inequality relating the angular velocity to the system’s gravitat…
This study examines the anodic polarizability of aluminum alloys containing calcium, strontium, and barium in neutral electrolytes relevant to seawater corrosion. Alloys prepared from high-purity aluminum were polarized in Caspian seawater and in 0.5 N sodium chloride and sodium sulfate solutions, w…
This study examines the conditions under which freshly cleaved thin mica sheets can form optical contact with polished glass, a possibility previously considered doubtful. Using interference observations and controlled surface treatments, the work distinguishes homogeneous contacts, with regular sep…
This paper studies boundary value problems for a class of second order partial differential equations of mixed elliptic and hyperbolic type in a strip and in half planes, with a gluing condition imposed across the line where the type changes. For nonperiodic boundary data, the solution is constructe…
This paper develops a method for treating unsteady relativistic flow of a viscous, heat-conducting gas within self-gravitating masses. Starting from the energy-momentum conservation equations, the continuity equation with thermal conduction, and Einstein’s gravitational field equations, it specializ…
This study addresses the previously unsuccessful synthesis of 4-hydroxyfuranidone-3 derivatives, focusing on 4-hydroxy-2,2,5,5-tetraalkylfuranidones-3. The authors prepared 4-isonitroso-2,2,5,5-tetraalkylfuranidones-3 by nitrosation of the corresponding furanidones and found that reduction with zinc…
This paper examines previously unresolved short-wavelength features near the L alpha 1,2 and L beta 1 lines in the L-series x-ray spectrum of germanium. Using microphotographic measurements of spectra from pure germanium and germanium dioxide, together with an extrapolation of level-energy differenc…
This paper investigates planar Earth to Moon flight in the circular restricted three body problem, addressing lunar impact, free return flyby, atmospheric return, periodic trajectories, and velocity changes produced by lunar passage. Combining approximate analytical methods with numerical integratio…
The present review aims to systematize the main experimental data concerning the properties of $\pi$ -mesons and their interaction with nucleons and nuclei. The conclusions that can be drawn on the basis of these works are in most cases qualitative, since at present there is no sufficiently coherent…
This paper studies the Cauchy problem for systems of linear partial differential equations whose weight is an integer greater than one, with coefficients depending on time. By reducing the system to first order in time and applying the Fourier transform, the analysis derives estimates for the fundam…
This study examines anomalous shifts of absorption bands for several dyes in mixed water and organic solvents, particularly cases where the band moves to longer wavelengths than in either pure solvent. By comparing spectral changes in water, water and acetone mixtures, and other solvent systems with…
This paper studies the metric dimension of point sets and metric spaces, understood through arbitrarily fine open coverings of bounded multiplicity, in relation to classical covering dimension. It formulates several characterizations: by locally finite coverings in Euclidean space, by refinements of…
This note studies the decomposition of infinitely divisible probability laws, especially the class of such laws whose components are all infinitely divisible, using Lévy’s representation and the associated Poisson spectrum. For laws with a Gaussian component, it gives necessary conditions on the spe…
This paper examines chemical features of 3,4-disubstituted 2,6-dichloropyridines obtained during syntheses of quinuclidine derivatives, comparing them with the corresponding dehalogenated pyridines. The study reports that the 2,6-dichloro compounds fail to form mineral acid salts, picrates, quaterna…
This note examines how bound states enter dispersion relations for meson photoproduction, with particular attention to the unobservable energy region below the photoproduction threshold. Assuming no meson, nucleon bound states between the nucleon mass and the one-meson threshold, the authors show th…
This paper develops principles for equivalent transformations of class Pi relay circuits, extending beyond contact networks to circuits containing relay windings and finite-conductance elements. It introduces the concept of conductance order to characterize how such elements affect relay operation, …
This study examines whether anodic oxidation and reduction of silver oxides in concentrated alkaline solution proceed through the solid phase or via dissolved silver species. Using a rotating gold disk electrode in potassium hydroxide solutions saturated with silver oxide, the work separates diffusi…
This paper presents an approximate method for solving the Dirichlet problem for the Laplace equation in a plane domain with rectifiable boundary, based on a finite difference scheme combined with a hierarchical decomposition into squares. The method expresses selected interior node values through Gr…
